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Date: 2-5-2021
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Date: 9-3-2021
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Date: 19-4-2021
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The inverse Gaussian distribution, also known as the Wald distribution, is the distribution over with probability density function and distribution function given by
(1) |
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(2) |
where is the mean and is a scaling parameter.
The inverse Gaussian distribution is implemented in the Wolfram Language as InverseGaussianDistribution[mu, lambda].
The th raw moment is given by
(3) |
where is a modified Bessel function of the second kind, giving the first few as
(4) |
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(5) |
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(6) |
Using gives a recursion relation for the raw moments as
(7) |
The first few central moments are
(8) |
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(9) |
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(10) |
The cumulants are given by
(11) |
The variance, skewness, and kurtosis excess are given by
(12) |
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(13) |
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دراسة يابانية لتقليل مخاطر أمراض المواليد منخفضي الوزن
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اكتشاف أكبر مرجان في العالم قبالة سواحل جزر سليمان
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اتحاد كليات الطب الملكية البريطانية يشيد بالمستوى العلمي لطلبة جامعة العميد وبيئتها التعليمية
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